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Finding the Third Proportional to 150,492.94 and 334,200.94

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Solution

The third proportional to 150,492.94 and 334,200.94 is: 742,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492.94 : 334,200.94 = 334,200.94 : x
  2. Step 2: Convert to fraction form
    150,492.94/334,200.94 = 334,200.94/x
  3. Step 3: Cross multiply
    150,492.94x = 334,200.94 × 334,200.94
  4. Step 4: Simplify right side
    150,492.94x = 111,690,266,625.88
  5. Step 5: Solve for x
    x = 111,690,266,625.88/150,492.94
  6. Step 6: Final answer
    x = 742,162.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.